.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "glr_examples/utils/plot_savitzky_golay1d.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        :ref:`Go to the end <sphx_glr_download_glr_examples_utils_plot_savitzky_golay1d.py>`
        to download the full example code or to run this example in your browser via Binder

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_glr_examples_utils_plot_savitzky_golay1d.py:


================================================
Plot Savitzky Golay 1D filter 
================================================

plot savitzky golay 1d from noise signal compared to filtered signal.

.. GENERATED FROM PYTHON SOURCE LINES 8-11

.. code-block:: default

    # Author: L.Kouadio 
    # Licence: BSD-3-clause 








.. GENERATED FROM PYTHON SOURCE LINES 12-13

Import required modules 

.. GENERATED FROM PYTHON SOURCE LINES 13-17

.. code-block:: default

    import numpy as np 
    import matplotlib.pyplot as plt 
    from watex.utils.exmath import savitzky_golay1d 








.. GENERATED FROM PYTHON SOURCE LINES 18-19

Generate signal for filtering and add Gaussian noises 

.. GENERATED FROM PYTHON SOURCE LINES 19-31

.. code-block:: default

    t = np.linspace(-3, 3, 500)
    y = np.exp( -t**2 ) + np.random.normal(0, 0.1, t.shape)
    # compute filtered signal 
    ysg = savitzky_golay1d(y, window_size=45, order=3, mode ='valid')
    # plot noise signal vs filtered signal 
    plt.figure(figsize =(10, 4)) 
    plt.plot(t, y, label='Noisy signal')
    plt.plot(t, np.exp(-t**2), 'k', lw=1.5, label='Original signal')
    plt.plot(t, ysg, 'r', label='Filtered signal')
    plt.ylabel('precomputed signal') 
    plt.xlabel ('signal bandwidth') 
    plt.legend()
    plt.show()


.. image-sg:: /glr_examples/utils/images/sphx_glr_plot_savitzky_golay1d_001.png
   :alt: plot savitzky golay1d
   :srcset: /glr_examples/utils/images/sphx_glr_plot_savitzky_golay1d_001.png
   :class: sphx-glr-single-img






.. rst-class:: sphx-glr-timing

   **Total running time of the script:** ( 0 minutes  0.152 seconds)


.. _sphx_glr_download_glr_examples_utils_plot_savitzky_golay1d.py:

.. only:: html

  .. container:: sphx-glr-footer sphx-glr-footer-example


    .. container:: binder-badge

      .. image:: images/binder_badge_logo.svg
        :target: https://mybinder.org/v2/gh/watex/watex/0.2.X?urlpath=lab/tree/notebooks/glr_examples/utils/plot_savitzky_golay1d.ipynb
        :alt: Launch binder
        :width: 150 px



    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download Python source code: plot_savitzky_golay1d.py <plot_savitzky_golay1d.py>`

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download Jupyter notebook: plot_savitzky_golay1d.ipynb <plot_savitzky_golay1d.ipynb>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_